What is the Greatest Common Factor of 61460 and 61474?

Greatest common factor (GCF) of 61460 and 61474 is 14.

GCF(61460,61474) = 14

We will now calculate the prime factors of 61460 and 61474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61460 and 61474.

How to find the GCF of 61460 and 61474?

We will first find the prime factorization of 61460 and 61474. After we will calculate the factors of 61460 and 61474 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 61474

Prime factors of 61474 are 2, 7, 4391. Prime factorization of 61474 in exponential form is:

61474 = 2¹ × 7¹ × 4391¹

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 61474

List of positive integer factors of 61474 that divides 61460 without a remainder.

1, 2, 7, 14, 4391, 8782, 30737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61460 and 61474. The biggest common factor number is the GCF number.
So the greatest common factor 61460 and 61474 is 14.

Also check out the Least Common Multiple of 61460 and 61474