What is the Greatest Common Factor of 61430 and 61450?

Greatest common factor (GCF) of 61430 and 61450 is 10.

GCF(61430,61450) = 10

We will now calculate the prime factors of 61430 and 61450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61430 and 61450.

How to find the GCF of 61430 and 61450?

We will first find the prime factorization of 61430 and 61450. After we will calculate the factors of 61430 and 61450 and find the biggest common factor number .

Step-1: Prime Factorization of 61430

Prime factors of 61430 are 2, 5, 6143. Prime factorization of 61430 in exponential form is:

61430 = 2¹ × 5¹ × 6143¹

Step-2: Prime Factorization of 61450

Prime factors of 61450 are 2, 5, 1229. Prime factorization of 61450 in exponential form is:

61450 = 2¹ × 5² × 1229¹

Step-3: Factors of 61430

List of positive integer factors of 61430 that divides 61430 without a remainder.

1, 2, 5, 10, 6143, 12286, 30715

Step-4: Factors of 61450

List of positive integer factors of 61450 that divides 61430 without a remainder.

1, 2, 5, 10, 25, 50, 1229, 2458, 6145, 12290, 30725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61430 and 61450. The biggest common factor number is the GCF number.
So the greatest common factor 61430 and 61450 is 10.

Also check out the Least Common Multiple of 61430 and 61450