What is the Greatest Common Factor of 95942 and 95962?

Greatest common factor (GCF) of 95942 and 95962 is 2.

GCF(95942,95962) = 2

We will now calculate the prime factors of 95942 and 95962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95942 and 95962.

How to find the GCF of 95942 and 95962?

We will first find the prime factorization of 95942 and 95962. After we will calculate the factors of 95942 and 95962 and find the biggest common factor number .

Step-1: Prime Factorization of 95942

Prime factors of 95942 are 2, 7, 11, 89. Prime factorization of 95942 in exponential form is:

95942 = 2¹ × 7² × 11¹ × 89¹

Step-2: Prime Factorization of 95962

Prime factors of 95962 are 2, 47981. Prime factorization of 95962 in exponential form is:

95962 = 2¹ × 47981¹

Step-3: Factors of 95942

List of positive integer factors of 95942 that divides 95942 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 89, 98, 154, 178, 539, 623, 979, 1078, 1246, 1958, 4361, 6853, 8722, 13706, 47971

Step-4: Factors of 95962

List of positive integer factors of 95962 that divides 95942 without a remainder.

1, 2, 47981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95942 and 95962. The biggest common factor number is the GCF number.
So the greatest common factor 95942 and 95962 is 2.

Also check out the Least Common Multiple of 95942 and 95962