What is the Greatest Common Factor of 61412 and 61430?

Greatest common factor (GCF) of 61412 and 61430 is 2.

GCF(61412,61430) = 2

We will now calculate the prime factors of 61412 and 61430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61412 and 61430.

How to find the GCF of 61412 and 61430?

We will first find the prime factorization of 61412 and 61430. After we will calculate the factors of 61412 and 61430 and find the biggest common factor number .

Step-1: Prime Factorization of 61412

Prime factors of 61412 are 2, 13, 1181. Prime factorization of 61412 in exponential form is:

61412 = 2² × 13¹ × 1181¹

Step-2: 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-3: Factors of 61412

List of positive integer factors of 61412 that divides 61412 without a remainder.

1, 2, 4, 13, 26, 52, 1181, 2362, 4724, 15353, 30706

Step-4: Factors of 61430

List of positive integer factors of 61430 that divides 61412 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61412 and 61430. The biggest common factor number is the GCF number.
So the greatest common factor 61412 and 61430 is 2.

Also check out the Least Common Multiple of 61412 and 61430