What is the Greatest Common Factor of 69934 and 69950?

Greatest common factor (GCF) of 69934 and 69950 is 2.

GCF(69934,69950) = 2

We will now calculate the prime factors of 69934 and 69950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69934 and 69950.

How to find the GCF of 69934 and 69950?

We will first find the prime factorization of 69934 and 69950. After we will calculate the factors of 69934 and 69950 and find the biggest common factor number .

Step-1: Prime Factorization of 69934

Prime factors of 69934 are 2, 73, 479. Prime factorization of 69934 in exponential form is:

69934 = 2¹ × 73¹ × 479¹

Step-2: Prime Factorization of 69950

Prime factors of 69950 are 2, 5, 1399. Prime factorization of 69950 in exponential form is:

69950 = 2¹ × 5² × 1399¹

Step-3: Factors of 69934

List of positive integer factors of 69934 that divides 69934 without a remainder.

1, 2, 73, 146, 479, 958, 34967

Step-4: Factors of 69950

List of positive integer factors of 69950 that divides 69934 without a remainder.

1, 2, 5, 10, 25, 50, 1399, 2798, 6995, 13990, 34975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69934 and 69950. The biggest common factor number is the GCF number.
So the greatest common factor 69934 and 69950 is 2.

Also check out the Least Common Multiple of 69934 and 69950