What is the Greatest Common Factor of 69307 and 69314?

Greatest common factor (GCF) of 69307 and 69314 is 7.

GCF(69307,69314) = 7

We will now calculate the prime factors of 69307 and 69314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69307 and 69314.

How to find the GCF of 69307 and 69314?

We will first find the prime factorization of 69307 and 69314. After we will calculate the factors of 69307 and 69314 and find the biggest common factor number .

Step-1: Prime Factorization of 69307

Prime factors of 69307 are 7, 9901. Prime factorization of 69307 in exponential form is:

69307 = 7¹ × 9901¹

Step-2: Prime Factorization of 69314

Prime factors of 69314 are 2, 7, 4951. Prime factorization of 69314 in exponential form is:

69314 = 2¹ × 7¹ × 4951¹

Step-3: Factors of 69307

List of positive integer factors of 69307 that divides 69307 without a remainder.

1, 7, 9901

Step-4: Factors of 69314

List of positive integer factors of 69314 that divides 69307 without a remainder.

1, 2, 7, 14, 4951, 9902, 34657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69307 and 69314. The biggest common factor number is the GCF number.
So the greatest common factor 69307 and 69314 is 7.

Also check out the Least Common Multiple of 69307 and 69314