What is the Greatest Common Factor of 62548 and 62567?

Greatest common factor (GCF) of 62548 and 62567 is 19.

GCF(62548,62567) = 19

We will now calculate the prime factors of 62548 and 62567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62548 and 62567.

How to find the GCF of 62548 and 62567?

We will first find the prime factorization of 62548 and 62567. After we will calculate the factors of 62548 and 62567 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62567

Prime factors of 62567 are 19, 37, 89. Prime factorization of 62567 in exponential form is:

62567 = 19¹ × 37¹ × 89¹

Step-3: Factors of 62548

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

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

Step-4: Factors of 62567

List of positive integer factors of 62567 that divides 62548 without a remainder.

1, 19, 37, 89, 703, 1691, 3293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62548 and 62567. The biggest common factor number is the GCF number.
So the greatest common factor 62548 and 62567 is 19.

Also check out the Least Common Multiple of 62548 and 62567