What is the Greatest Common Factor of 49088 and 49102?

Greatest common factor (GCF) of 49088 and 49102 is 2.

GCF(49088,49102) = 2

We will now calculate the prime factors of 49088 and 49102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49088 and 49102.

How to find the GCF of 49088 and 49102?

We will first find the prime factorization of 49088 and 49102. After we will calculate the factors of 49088 and 49102 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 49102

Prime factors of 49102 are 2, 24551. Prime factorization of 49102 in exponential form is:

49102 = 2¹ × 24551¹

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 49102

List of positive integer factors of 49102 that divides 49088 without a remainder.

1, 2, 24551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49088 and 49102. The biggest common factor number is the GCF number.
So the greatest common factor 49088 and 49102 is 2.

Also check out the Least Common Multiple of 49088 and 49102