What is the Greatest Common Factor of 53949 and 53956?

Greatest common factor (GCF) of 53949 and 53956 is 7.

GCF(53949,53956) = 7

We will now calculate the prime factors of 53949 and 53956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53949 and 53956.

How to find the GCF of 53949 and 53956?

We will first find the prime factorization of 53949 and 53956. After we will calculate the factors of 53949 and 53956 and find the biggest common factor number .

Step-1: Prime Factorization of 53949

Prime factors of 53949 are 3, 7, 367. Prime factorization of 53949 in exponential form is:

53949 = 3¹ × 7² × 367¹

Step-2: Prime Factorization of 53956

Prime factors of 53956 are 2, 7, 41, 47. Prime factorization of 53956 in exponential form is:

53956 = 2² × 7¹ × 41¹ × 47¹

Step-3: Factors of 53949

List of positive integer factors of 53949 that divides 53949 without a remainder.

1, 3, 7, 21, 49, 147, 367, 1101, 2569, 7707, 17983

Step-4: Factors of 53956

List of positive integer factors of 53956 that divides 53949 without a remainder.

1, 2, 4, 7, 14, 28, 41, 47, 82, 94, 164, 188, 287, 329, 574, 658, 1148, 1316, 1927, 3854, 7708, 13489, 26978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53949 and 53956. The biggest common factor number is the GCF number.
So the greatest common factor 53949 and 53956 is 7.

Also check out the Least Common Multiple of 53949 and 53956