What is the Greatest Common Factor of 49452 and 49462?

Greatest common factor (GCF) of 49452 and 49462 is 2.

GCF(49452,49462) = 2

We will now calculate the prime factors of 49452 and 49462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49452 and 49462.

How to find the GCF of 49452 and 49462?

We will first find the prime factorization of 49452 and 49462. After we will calculate the factors of 49452 and 49462 and find the biggest common factor number .

Step-1: Prime Factorization of 49452

Prime factors of 49452 are 2, 3, 13, 317. Prime factorization of 49452 in exponential form is:

49452 = 2² × 3¹ × 13¹ × 317¹

Step-2: Prime Factorization of 49462

Prime factors of 49462 are 2, 7, 3533. Prime factorization of 49462 in exponential form is:

49462 = 2¹ × 7¹ × 3533¹

Step-3: Factors of 49452

List of positive integer factors of 49452 that divides 49452 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 317, 634, 951, 1268, 1902, 3804, 4121, 8242, 12363, 16484, 24726

Step-4: Factors of 49462

List of positive integer factors of 49462 that divides 49452 without a remainder.

1, 2, 7, 14, 3533, 7066, 24731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49452 and 49462. The biggest common factor number is the GCF number.
So the greatest common factor 49452 and 49462 is 2.

Also check out the Least Common Multiple of 49452 and 49462