What is the Greatest Common Factor of 60914 and 60925?

Greatest common factor (GCF) of 60914 and 60925 is 1.

GCF(60914,60925) = 1

We will now calculate the prime factors of 60914 and 60925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60914 and 60925.

How to find the GCF of 60914 and 60925?

We will first find the prime factorization of 60914 and 60925. After we will calculate the factors of 60914 and 60925 and find the biggest common factor number .

Step-1: Prime Factorization of 60914

Prime factors of 60914 are 2, 7, 19, 229. Prime factorization of 60914 in exponential form is:

60914 = 2¹ × 7¹ × 19¹ × 229¹

Step-2: Prime Factorization of 60925

Prime factors of 60925 are 5, 2437. Prime factorization of 60925 in exponential form is:

60925 = 5² × 2437¹

Step-3: Factors of 60914

List of positive integer factors of 60914 that divides 60914 without a remainder.

1, 2, 7, 14, 19, 38, 133, 229, 266, 458, 1603, 3206, 4351, 8702, 30457

Step-4: Factors of 60925

List of positive integer factors of 60925 that divides 60914 without a remainder.

1, 5, 25, 2437, 12185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60914 and 60925. The biggest common factor number is the GCF number.
So the greatest common factor 60914 and 60925 is 1.

Also check out the Least Common Multiple of 60914 and 60925