What is the Greatest Common Factor of 35091 and 35105?

Greatest common factor (GCF) of 35091 and 35105 is 7.

GCF(35091,35105) = 7

We will now calculate the prime factors of 35091 and 35105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35091 and 35105.

How to find the GCF of 35091 and 35105?

We will first find the prime factorization of 35091 and 35105. After we will calculate the factors of 35091 and 35105 and find the biggest common factor number .

Step-1: Prime Factorization of 35091

Prime factors of 35091 are 3, 7, 557. Prime factorization of 35091 in exponential form is:

35091 = 3² × 7¹ × 557¹

Step-2: Prime Factorization of 35105

Prime factors of 35105 are 5, 7, 17, 59. Prime factorization of 35105 in exponential form is:

35105 = 5¹ × 7¹ × 17¹ × 59¹

Step-3: Factors of 35091

List of positive integer factors of 35091 that divides 35091 without a remainder.

1, 3, 7, 9, 21, 63, 557, 1671, 3899, 5013, 11697

Step-4: Factors of 35105

List of positive integer factors of 35105 that divides 35091 without a remainder.

1, 5, 7, 17, 35, 59, 85, 119, 295, 413, 595, 1003, 2065, 5015, 7021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35091 and 35105. The biggest common factor number is the GCF number.
So the greatest common factor 35091 and 35105 is 7.

Also check out the Least Common Multiple of 35091 and 35105