What is the Greatest Common Factor of 61460 and 61477?

Greatest common factor (GCF) of 61460 and 61477 is 1.

GCF(61460,61477) = 1

We will now calculate the prime factors of 61460 and 61477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61460 and 61477.

How to find the GCF of 61460 and 61477?

We will first find the prime factorization of 61460 and 61477. After we will calculate the factors of 61460 and 61477 and find the biggest common factor number .

Step-1: Prime Factorization of 61460

Prime factors of 61460 are 2, 5, 7, 439. Prime factorization of 61460 in exponential form is:

61460 = 2² × 5¹ × 7¹ × 439¹

Step-2: Prime Factorization of 61477

Prime factors of 61477 are 13, 4729. Prime factorization of 61477 in exponential form is:

61477 = 13¹ × 4729¹

Step-3: Factors of 61460

List of positive integer factors of 61460 that divides 61460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 439, 878, 1756, 2195, 3073, 4390, 6146, 8780, 12292, 15365, 30730

Step-4: Factors of 61477

List of positive integer factors of 61477 that divides 61460 without a remainder.

1, 13, 4729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61460 and 61477. The biggest common factor number is the GCF number.
So the greatest common factor 61460 and 61477 is 1.

Also check out the Least Common Multiple of 61460 and 61477