What is the Greatest Common Factor of 62529 and 62548?

Greatest common factor (GCF) of 62529 and 62548 is 19.

GCF(62529,62548) = 19

We will now calculate the prime factors of 62529 and 62548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62529 and 62548.

How to find the GCF of 62529 and 62548?

We will first find the prime factorization of 62529 and 62548. After we will calculate the factors of 62529 and 62548 and find the biggest common factor number .

Step-1: Prime Factorization of 62529

Prime factors of 62529 are 3, 19, 1097. Prime factorization of 62529 in exponential form is:

62529 = 3¹ × 19¹ × 1097¹

Step-2: Prime Factorization of 62548

Prime factors of 62548 are 2, 19, 823. Prime factorization of 62548 in exponential form is:

62548 = 2² × 19¹ × 823¹

Step-3: Factors of 62529

List of positive integer factors of 62529 that divides 62529 without a remainder.

1, 3, 19, 57, 1097, 3291, 20843

Step-4: Factors of 62548

List of positive integer factors of 62548 that divides 62529 without a remainder.

1, 2, 4, 19, 38, 76, 823, 1646, 3292, 15637, 31274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62529 and 62548. The biggest common factor number is the GCF number.
So the greatest common factor 62529 and 62548 is 19.

Also check out the Least Common Multiple of 62529 and 62548