What is the Greatest Common Factor of 69954 and 69962?

Greatest common factor (GCF) of 69954 and 69962 is 2.

GCF(69954,69962) = 2

We will now calculate the prime factors of 69954 and 69962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69954 and 69962.

How to find the GCF of 69954 and 69962?

We will first find the prime factorization of 69954 and 69962. After we will calculate the factors of 69954 and 69962 and find the biggest common factor number .

Step-1: Prime Factorization of 69954

Prime factors of 69954 are 2, 3, 89, 131. Prime factorization of 69954 in exponential form is:

69954 = 2¹ × 3¹ × 89¹ × 131¹

Step-2: Prime Factorization of 69962

Prime factors of 69962 are 2, 34981. Prime factorization of 69962 in exponential form is:

69962 = 2¹ × 34981¹

Step-3: Factors of 69954

List of positive integer factors of 69954 that divides 69954 without a remainder.

1, 2, 3, 6, 89, 131, 178, 262, 267, 393, 534, 786, 11659, 23318, 34977

Step-4: Factors of 69962

List of positive integer factors of 69962 that divides 69954 without a remainder.

1, 2, 34981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69954 and 69962. The biggest common factor number is the GCF number.
So the greatest common factor 69954 and 69962 is 2.

Also check out the Least Common Multiple of 69954 and 69962