What is the Greatest Common Factor of 77025 and 77040?
Greatest common factor (GCF) of 77025 and 77040 is 15.
GCF(77025,77040) = 15
We will now calculate the prime factors of 77025 and 77040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77025 and 77040.
How to find the GCF of 77025 and 77040?
We will first find the prime factorization of 77025 and 77040. After we will calculate the factors of 77025 and 77040 and find the biggest common factor number .
Step-1: Prime Factorization of 77025
Prime factors of 77025 are 3, 5, 13, 79. Prime factorization of 77025 in exponential form is:
77025 = 31 × 52 × 131 × 791
Step-2: Prime Factorization of 77040
Prime factors of 77040 are 2, 3, 5, 107. Prime factorization of 77040 in exponential form is:
77040 = 24 × 32 × 51 × 1071
Step-3: Factors of 77025
List of positive integer factors of 77025 that divides 77025 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 79, 195, 237, 325, 395, 975, 1027, 1185, 1975, 3081, 5135, 5925, 15405, 25675
Step-4: Factors of 77040
List of positive integer factors of 77040 that divides 77025 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 107, 120, 144, 180, 214, 240, 321, 360, 428, 535, 642, 720, 856, 963, 1070, 1284, 1605, 1712, 1926, 2140, 2568, 3210, 3852, 4280, 4815, 5136, 6420, 7704, 8560, 9630, 12840, 15408, 19260, 25680, 38520
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77025 and 77040. The biggest common factor number is the GCF number.
So the greatest common factor 77025 and 77040 is 15.
Also check out the Least Common Multiple of 77025 and 77040
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