What is the Greatest Common Factor of 52949 and 52962?

Greatest common factor (GCF) of 52949 and 52962 is 13.

GCF(52949,52962) = 13

We will now calculate the prime factors of 52949 and 52962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52949 and 52962.

How to find the GCF of 52949 and 52962?

We will first find the prime factorization of 52949 and 52962. After we will calculate the factors of 52949 and 52962 and find the biggest common factor number .

Step-1: Prime Factorization of 52949

Prime factors of 52949 are 13, 4073. Prime factorization of 52949 in exponential form is:

52949 = 13¹ × 4073¹

Step-2: Prime Factorization of 52962

Prime factors of 52962 are 2, 3, 7, 13, 97. Prime factorization of 52962 in exponential form is:

52962 = 2¹ × 3¹ × 7¹ × 13¹ × 97¹

Step-3: Factors of 52949

List of positive integer factors of 52949 that divides 52949 without a remainder.

1, 13, 4073

Step-4: Factors of 52962

List of positive integer factors of 52962 that divides 52949 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 97, 182, 194, 273, 291, 546, 582, 679, 1261, 1358, 2037, 2522, 3783, 4074, 7566, 8827, 17654, 26481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52949 and 52962. The biggest common factor number is the GCF number.
So the greatest common factor 52949 and 52962 is 13.

Also check out the Least Common Multiple of 52949 and 52962