What is the Greatest Common Factor of 69278 and 69292?

Greatest common factor (GCF) of 69278 and 69292 is 2.

GCF(69278,69292) = 2

We will now calculate the prime factors of 69278 and 69292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69278 and 69292.

How to find the GCF of 69278 and 69292?

We will first find the prime factorization of 69278 and 69292. After we will calculate the factors of 69278 and 69292 and find the biggest common factor number .

Step-1: Prime Factorization of 69278

Prime factors of 69278 are 2, 11, 47, 67. Prime factorization of 69278 in exponential form is:

69278 = 2¹ × 11¹ × 47¹ × 67¹

Step-2: Prime Factorization of 69292

Prime factors of 69292 are 2, 17, 1019. Prime factorization of 69292 in exponential form is:

69292 = 2² × 17¹ × 1019¹

Step-3: Factors of 69278

List of positive integer factors of 69278 that divides 69278 without a remainder.

1, 2, 11, 22, 47, 67, 94, 134, 517, 737, 1034, 1474, 3149, 6298, 34639

Step-4: Factors of 69292

List of positive integer factors of 69292 that divides 69278 without a remainder.

1, 2, 4, 17, 34, 68, 1019, 2038, 4076, 17323, 34646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69278 and 69292. The biggest common factor number is the GCF number.
So the greatest common factor 69278 and 69292 is 2.

Also check out the Least Common Multiple of 69278 and 69292