What is the Greatest Common Factor of 35679 and 35693?

Greatest common factor (GCF) of 35679 and 35693 is 7.

GCF(35679,35693) = 7

We will now calculate the prime factors of 35679 and 35693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35679 and 35693.

How to find the GCF of 35679 and 35693?

We will first find the prime factorization of 35679 and 35693. After we will calculate the factors of 35679 and 35693 and find the biggest common factor number .

Step-1: Prime Factorization of 35679

Prime factors of 35679 are 3, 7, 1699. Prime factorization of 35679 in exponential form is:

35679 = 3¹ × 7¹ × 1699¹

Step-2: Prime Factorization of 35693

Prime factors of 35693 are 7, 5099. Prime factorization of 35693 in exponential form is:

35693 = 7¹ × 5099¹

Step-3: Factors of 35679

List of positive integer factors of 35679 that divides 35679 without a remainder.

1, 3, 7, 21, 1699, 5097, 11893

Step-4: Factors of 35693

List of positive integer factors of 35693 that divides 35679 without a remainder.

1, 7, 5099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35679 and 35693. The biggest common factor number is the GCF number.
So the greatest common factor 35679 and 35693 is 7.

Also check out the Least Common Multiple of 35679 and 35693