What is the Greatest Common Factor of 45360 and 45370?
Greatest common factor (GCF) of 45360 and 45370 is 10.
GCF(45360,45370) = 10
We will now calculate the prime factors of 45360 and 45370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45360 and 45370.
How to find the GCF of 45360 and 45370?
We will first find the prime factorization of 45360 and 45370. After we will calculate the factors of 45360 and 45370 and find the biggest common factor number .
Step-1: Prime Factorization of 45360
Prime factors of 45360 are 2, 3, 5, 7. Prime factorization of 45360 in exponential form is:
45360 = 24 × 34 × 51 × 71
Step-2: Prime Factorization of 45370
Prime factors of 45370 are 2, 5, 13, 349. Prime factorization of 45370 in exponential form is:
45370 = 21 × 51 × 131 × 3491
Step-3: Factors of 45360
List of positive integer factors of 45360 that divides 45360 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 81, 84, 90, 105, 108, 112, 120, 126, 135, 140, 144, 162, 168, 180, 189, 210, 216, 240, 252, 270, 280, 315, 324, 336, 360, 378, 405, 420, 432, 504, 540, 560, 567, 630, 648, 720, 756, 810, 840, 945, 1008, 1080, 1134, 1260, 1296, 1512, 1620, 1680, 1890, 2160, 2268, 2520, 2835, 3024, 3240, 3780, 4536, 5040, 5670, 6480, 7560, 9072, 11340, 15120, 22680
Step-4: Factors of 45370
List of positive integer factors of 45370 that divides 45360 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130, 349, 698, 1745, 3490, 4537, 9074, 22685
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 45360 and 45370. The biggest common factor number is the GCF number.
So the greatest common factor 45360 and 45370 is 10.
Also check out the Least Common Multiple of 45360 and 45370
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