What is the Greatest Common Factor of 61274 and 61290?

Greatest common factor (GCF) of 61274 and 61290 is 2.

GCF(61274,61290) = 2

We will now calculate the prime factors of 61274 and 61290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61274 and 61290.

How to find the GCF of 61274 and 61290?

We will first find the prime factorization of 61274 and 61290. After we will calculate the factors of 61274 and 61290 and find the biggest common factor number .

Step-1: Prime Factorization of 61274

Prime factors of 61274 are 2, 30637. Prime factorization of 61274 in exponential form is:

61274 = 2¹ × 30637¹

Step-2: Prime Factorization of 61290

Prime factors of 61290 are 2, 3, 5, 227. Prime factorization of 61290 in exponential form is:

61290 = 2¹ × 3³ × 5¹ × 227¹

Step-3: Factors of 61274

List of positive integer factors of 61274 that divides 61274 without a remainder.

1, 2, 30637

Step-4: Factors of 61290

List of positive integer factors of 61290 that divides 61274 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 227, 270, 454, 681, 1135, 1362, 2043, 2270, 3405, 4086, 6129, 6810, 10215, 12258, 20430, 30645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61274 and 61290. The biggest common factor number is the GCF number.
So the greatest common factor 61274 and 61290 is 2.

Also check out the Least Common Multiple of 61274 and 61290