What is the Greatest Common Factor of 62561 and 62574?

Greatest common factor (GCF) of 62561 and 62574 is 1.

GCF(62561,62574) = 1

We will now calculate the prime factors of 62561 and 62574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62561 and 62574.

How to find the GCF of 62561 and 62574?

We will first find the prime factorization of 62561 and 62574. After we will calculate the factors of 62561 and 62574 and find the biggest common factor number .

Step-1: Prime Factorization of 62561

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

62561 = 73¹ × 857¹

Step-2: Prime Factorization of 62574

Prime factors of 62574 are 2, 3, 10429. Prime factorization of 62574 in exponential form is:

62574 = 2¹ × 3¹ × 10429¹

Step-3: Factors of 62561

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

1, 73, 857

Step-4: Factors of 62574

List of positive integer factors of 62574 that divides 62561 without a remainder.

1, 2, 3, 6, 10429, 20858, 31287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62561 and 62574. The biggest common factor number is the GCF number.
So the greatest common factor 62561 and 62574 is 1.

Also check out the Least Common Multiple of 62561 and 62574