What is the Greatest Common Factor of 60435 and 60445?
Greatest common factor (GCF) of 60435 and 60445 is 5.
GCF(60435,60445) = 5
We will now calculate the prime factors of 60435 and 60445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60435 and 60445.
How to find the GCF of 60435 and 60445?
We will first find the prime factorization of 60435 and 60445. After we will calculate the factors of 60435 and 60445 and find the biggest common factor number .
Step-1: Prime Factorization of 60435
Prime factors of 60435 are 3, 5, 17, 79. Prime factorization of 60435 in exponential form is:
60435 = 32 × 51 × 171 × 791
Step-2: Prime Factorization of 60445
Prime factors of 60445 are 5, 7, 11, 157. Prime factorization of 60445 in exponential form is:
60445 = 51 × 71 × 111 × 1571
Step-3: Factors of 60435
List of positive integer factors of 60435 that divides 60435 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 79, 85, 153, 237, 255, 395, 711, 765, 1185, 1343, 3555, 4029, 6715, 12087, 20145
Step-4: Factors of 60445
List of positive integer factors of 60445 that divides 60435 without a remainder.
1, 5, 7, 11, 35, 55, 77, 157, 385, 785, 1099, 1727, 5495, 8635, 12089
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 60435 and 60445. The biggest common factor number is the GCF number.
So the greatest common factor 60435 and 60445 is 5.
Also check out the Least Common Multiple of 60435 and 60445
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