What is the Greatest Common Factor of 59948 and 59962?

Greatest common factor (GCF) of 59948 and 59962 is 14.

GCF(59948,59962) = 14

We will now calculate the prime factors of 59948 and 59962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59948 and 59962.

How to find the GCF of 59948 and 59962?

We will first find the prime factorization of 59948 and 59962. After we will calculate the factors of 59948 and 59962 and find the biggest common factor number .

Step-1: Prime Factorization of 59948

Prime factors of 59948 are 2, 7, 2141. Prime factorization of 59948 in exponential form is:

59948 = 2² × 7¹ × 2141¹

Step-2: Prime Factorization of 59962

Prime factors of 59962 are 2, 7, 4283. Prime factorization of 59962 in exponential form is:

59962 = 2¹ × 7¹ × 4283¹

Step-3: Factors of 59948

List of positive integer factors of 59948 that divides 59948 without a remainder.

1, 2, 4, 7, 14, 28, 2141, 4282, 8564, 14987, 29974

Step-4: Factors of 59962

List of positive integer factors of 59962 that divides 59948 without a remainder.

1, 2, 7, 14, 4283, 8566, 29981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59948 and 59962. The biggest common factor number is the GCF number.
So the greatest common factor 59948 and 59962 is 14.

Also check out the Least Common Multiple of 59948 and 59962