What is the Greatest Common Factor of 62601 and 62612?

Greatest common factor (GCF) of 62601 and 62612 is 11.

GCF(62601,62612) = 11

We will now calculate the prime factors of 62601 and 62612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62601 and 62612.

How to find the GCF of 62601 and 62612?

We will first find the prime factorization of 62601 and 62612. After we will calculate the factors of 62601 and 62612 and find the biggest common factor number .

Step-1: Prime Factorization of 62601

Prime factors of 62601 are 3, 7, 11, 271. Prime factorization of 62601 in exponential form is:

62601 = 3¹ × 7¹ × 11¹ × 271¹

Step-2: Prime Factorization of 62612

Prime factors of 62612 are 2, 11, 1423. Prime factorization of 62612 in exponential form is:

62612 = 2² × 11¹ × 1423¹

Step-3: Factors of 62601

List of positive integer factors of 62601 that divides 62601 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 271, 813, 1897, 2981, 5691, 8943, 20867

Step-4: Factors of 62612

List of positive integer factors of 62612 that divides 62601 without a remainder.

1, 2, 4, 11, 22, 44, 1423, 2846, 5692, 15653, 31306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62601 and 62612. The biggest common factor number is the GCF number.
So the greatest common factor 62601 and 62612 is 11.

Also check out the Least Common Multiple of 62601 and 62612