GCF and LCM Calculator Logo

What is the Greatest Common Factor of 61462 and 61478?

Greatest common factor (GCF) of 61462 and 61478 is 2.

GCF(61462,61478) = 2

We will now calculate the prime factors of 61462 and 61478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61462 and 61478.

GCF Calculator and
and

How to find the GCF of 61462 and 61478?

We will first find the prime factorization of 61462 and 61478. After we will calculate the factors of 61462 and 61478 and find the biggest common factor number .

Step-1: Prime Factorization of 61462

Prime factors of 61462 are 2, 79, 389. Prime factorization of 61462 in exponential form is:

61462 = 21 × 791 × 3891

Step-2: Prime Factorization of 61478

Prime factors of 61478 are 2, 59, 521. Prime factorization of 61478 in exponential form is:

61478 = 21 × 591 × 5211

Step-3: Factors of 61462

List of positive integer factors of 61462 that divides 61462 without a remainder.

1, 2, 79, 158, 389, 778, 30731

Step-4: Factors of 61478

List of positive integer factors of 61478 that divides 61462 without a remainder.

1, 2, 59, 118, 521, 1042, 30739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61462 and 61478. The biggest common factor number is the GCF number.
So the greatest common factor 61462 and 61478 is 2.

Also check out the Least Common Multiple of 61462 and 61478