What is the Greatest Common Factor of 49075 and 49088?

Greatest common factor (GCF) of 49075 and 49088 is 13.

GCF(49075,49088) = 13

We will now calculate the prime factors of 49075 and 49088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49075 and 49088.

How to find the GCF of 49075 and 49088?

We will first find the prime factorization of 49075 and 49088. After we will calculate the factors of 49075 and 49088 and find the biggest common factor number .

Step-1: Prime Factorization of 49075

Prime factors of 49075 are 5, 13, 151. Prime factorization of 49075 in exponential form is:

49075 = 5² × 13¹ × 151¹

Step-2: Prime Factorization of 49088

Prime factors of 49088 are 2, 13, 59. Prime factorization of 49088 in exponential form is:

49088 = 2⁶ × 13¹ × 59¹

Step-3: Factors of 49075

List of positive integer factors of 49075 that divides 49075 without a remainder.

1, 5, 13, 25, 65, 151, 325, 755, 1963, 3775, 9815

Step-4: Factors of 49088

List of positive integer factors of 49088 that divides 49075 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 59, 64, 104, 118, 208, 236, 416, 472, 767, 832, 944, 1534, 1888, 3068, 3776, 6136, 12272, 24544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49075 and 49088. The biggest common factor number is the GCF number.
So the greatest common factor 49075 and 49088 is 13.

Also check out the Least Common Multiple of 49075 and 49088