What is the Greatest Common Factor of 49104 and 49114?

Greatest common factor (GCF) of 49104 and 49114 is 2.

GCF(49104,49114) = 2

We will now calculate the prime factors of 49104 and 49114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49104 and 49114.

How to find the GCF of 49104 and 49114?

We will first find the prime factorization of 49104 and 49114. After we will calculate the factors of 49104 and 49114 and find the biggest common factor number .

Step-1: Prime Factorization of 49104

Prime factors of 49104 are 2, 3, 11, 31. Prime factorization of 49104 in exponential form is:

49104 = 2⁴ × 3² × 11¹ × 31¹

Step-2: Prime Factorization of 49114

Prime factors of 49114 are 2, 13, 1889. Prime factorization of 49114 in exponential form is:

49114 = 2¹ × 13¹ × 1889¹

Step-3: Factors of 49104

List of positive integer factors of 49104 that divides 49104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 31, 33, 36, 44, 48, 62, 66, 72, 88, 93, 99, 124, 132, 144, 176, 186, 198, 248, 264, 279, 341, 372, 396, 496, 528, 558, 682, 744, 792, 1023, 1116, 1364, 1488, 1584, 2046, 2232, 2728, 3069, 4092, 4464, 5456, 6138, 8184, 12276, 16368, 24552

Step-4: Factors of 49114

List of positive integer factors of 49114 that divides 49104 without a remainder.

1, 2, 13, 26, 1889, 3778, 24557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49104 and 49114. The biggest common factor number is the GCF number.
So the greatest common factor 49104 and 49114 is 2.

Also check out the Least Common Multiple of 49104 and 49114