What is the Greatest Common Factor of 95949 and 95956?

Greatest common factor (GCF) of 95949 and 95956 is 7.

GCF(95949,95956) = 7

We will now calculate the prime factors of 95949 and 95956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95949 and 95956.

How to find the GCF of 95949 and 95956?

We will first find the prime factorization of 95949 and 95956. After we will calculate the factors of 95949 and 95956 and find the biggest common factor number .

Step-1: Prime Factorization of 95949

Prime factors of 95949 are 3, 7, 1523. Prime factorization of 95949 in exponential form is:

95949 = 3² × 7¹ × 1523¹

Step-2: Prime Factorization of 95956

Prime factors of 95956 are 2, 7, 23, 149. Prime factorization of 95956 in exponential form is:

95956 = 2² × 7¹ × 23¹ × 149¹

Step-3: Factors of 95949

List of positive integer factors of 95949 that divides 95949 without a remainder.

1, 3, 7, 9, 21, 63, 1523, 4569, 10661, 13707, 31983

Step-4: Factors of 95956

List of positive integer factors of 95956 that divides 95949 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 149, 161, 298, 322, 596, 644, 1043, 2086, 3427, 4172, 6854, 13708, 23989, 47978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95949 and 95956. The biggest common factor number is the GCF number.
So the greatest common factor 95949 and 95956 is 7.

Also check out the Least Common Multiple of 95949 and 95956