What is the Greatest Common Factor of 49088 and 49108?

Greatest common factor (GCF) of 49088 and 49108 is 4.

GCF(49088,49108) = 4

We will now calculate the prime factors of 49088 and 49108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49088 and 49108.

How to find the GCF of 49088 and 49108?

We will first find the prime factorization of 49088 and 49108. After we will calculate the factors of 49088 and 49108 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49108

Prime factors of 49108 are 2, 12277. Prime factorization of 49108 in exponential form is:

49108 = 2² × 12277¹

Step-3: Factors of 49088

List of positive integer factors of 49088 that divides 49088 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

Step-4: Factors of 49108

List of positive integer factors of 49108 that divides 49088 without a remainder.

1, 2, 4, 12277, 24554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49088 and 49108. The biggest common factor number is the GCF number.
So the greatest common factor 49088 and 49108 is 4.

Also check out the Least Common Multiple of 49088 and 49108