What is the Greatest Common Factor of 69942 and 69946?

Greatest common factor (GCF) of 69942 and 69946 is 2.

GCF(69942,69946) = 2

We will now calculate the prime factors of 69942 and 69946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69942 and 69946.

How to find the GCF of 69942 and 69946?

We will first find the prime factorization of 69942 and 69946. After we will calculate the factors of 69942 and 69946 and find the biggest common factor number .

Step-1: Prime Factorization of 69942

Prime factors of 69942 are 2, 3, 11657. Prime factorization of 69942 in exponential form is:

69942 = 2¹ × 3¹ × 11657¹

Step-2: Prime Factorization of 69946

Prime factors of 69946 are 2, 41, 853. Prime factorization of 69946 in exponential form is:

69946 = 2¹ × 41¹ × 853¹

Step-3: Factors of 69942

List of positive integer factors of 69942 that divides 69942 without a remainder.

1, 2, 3, 6, 11657, 23314, 34971

Step-4: Factors of 69946

List of positive integer factors of 69946 that divides 69942 without a remainder.

1, 2, 41, 82, 853, 1706, 34973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69942 and 69946. The biggest common factor number is the GCF number.
So the greatest common factor 69942 and 69946 is 2.

Also check out the Least Common Multiple of 69942 and 69946