What is the Greatest Common Factor of 62612 and 62623?

Greatest common factor (GCF) of 62612 and 62623 is 11.

GCF(62612,62623) = 11

We will now calculate the prime factors of 62612 and 62623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62612 and 62623.

How to find the GCF of 62612 and 62623?

We will first find the prime factorization of 62612 and 62623. After we will calculate the factors of 62612 and 62623 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62623

Prime factors of 62623 are 11, 5693. Prime factorization of 62623 in exponential form is:

62623 = 11¹ × 5693¹

Step-3: Factors of 62612

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

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

Step-4: Factors of 62623

List of positive integer factors of 62623 that divides 62612 without a remainder.

1, 11, 5693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62612 and 62623. The biggest common factor number is the GCF number.
So the greatest common factor 62612 and 62623 is 11.

Also check out the Least Common Multiple of 62612 and 62623