What is the Greatest Common Factor of 49252 and 49266?

Greatest common factor (GCF) of 49252 and 49266 is 14.

GCF(49252,49266) = 14

We will now calculate the prime factors of 49252 and 49266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49252 and 49266.

How to find the GCF of 49252 and 49266?

We will first find the prime factorization of 49252 and 49266. After we will calculate the factors of 49252 and 49266 and find the biggest common factor number .

Step-1: Prime Factorization of 49252

Prime factors of 49252 are 2, 7, 1759. Prime factorization of 49252 in exponential form is:

49252 = 2² × 7¹ × 1759¹

Step-2: Prime Factorization of 49266

Prime factors of 49266 are 2, 3, 7, 17, 23. Prime factorization of 49266 in exponential form is:

49266 = 2¹ × 3² × 7¹ × 17¹ × 23¹

Step-3: Factors of 49252

List of positive integer factors of 49252 that divides 49252 without a remainder.

1, 2, 4, 7, 14, 28, 1759, 3518, 7036, 12313, 24626

Step-4: Factors of 49266

List of positive integer factors of 49266 that divides 49252 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 23, 34, 42, 46, 51, 63, 69, 102, 119, 126, 138, 153, 161, 207, 238, 306, 322, 357, 391, 414, 483, 714, 782, 966, 1071, 1173, 1449, 2142, 2346, 2737, 2898, 3519, 5474, 7038, 8211, 16422, 24633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49252 and 49266. The biggest common factor number is the GCF number.
So the greatest common factor 49252 and 49266 is 14.

Also check out the Least Common Multiple of 49252 and 49266