What is the Greatest Common Factor of 62548 and 62561?

Greatest common factor (GCF) of 62548 and 62561 is 1.

GCF(62548,62561) = 1

We will now calculate the prime factors of 62548 and 62561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62548 and 62561.

How to find the GCF of 62548 and 62561?

We will first find the prime factorization of 62548 and 62561. After we will calculate the factors of 62548 and 62561 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 62561

Prime factors of 62561 are 73, 857. Prime factorization of 62561 in exponential form is:

62561 = 73¹ × 857¹

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 62561

List of positive integer factors of 62561 that divides 62548 without a remainder.

1, 73, 857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62548 and 62561. The biggest common factor number is the GCF number.
So the greatest common factor 62548 and 62561 is 1.

Also check out the Least Common Multiple of 62548 and 62561