What is the Greatest Common Factor of 51474 and 51490?

Greatest common factor (GCF) of 51474 and 51490 is 2.

GCF(51474,51490) = 2

We will now calculate the prime factors of 51474 and 51490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51474 and 51490.

How to find the GCF of 51474 and 51490?

We will first find the prime factorization of 51474 and 51490. After we will calculate the factors of 51474 and 51490 and find the biggest common factor number .

Step-1: Prime Factorization of 51474

Prime factors of 51474 are 2, 3, 23, 373. Prime factorization of 51474 in exponential form is:

51474 = 2¹ × 3¹ × 23¹ × 373¹

Step-2: Prime Factorization of 51490

Prime factors of 51490 are 2, 5, 19, 271. Prime factorization of 51490 in exponential form is:

51490 = 2¹ × 5¹ × 19¹ × 271¹

Step-3: Factors of 51474

List of positive integer factors of 51474 that divides 51474 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 373, 746, 1119, 2238, 8579, 17158, 25737

Step-4: Factors of 51490

List of positive integer factors of 51490 that divides 51474 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 271, 542, 1355, 2710, 5149, 10298, 25745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51474 and 51490. The biggest common factor number is the GCF number.
So the greatest common factor 51474 and 51490 is 2.

Also check out the Least Common Multiple of 51474 and 51490