What is the Greatest Common Factor of 35486 and 35497?

Greatest common factor (GCF) of 35486 and 35497 is 11.

GCF(35486,35497) = 11

We will now calculate the prime factors of 35486 and 35497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35486 and 35497.

How to find the GCF of 35486 and 35497?

We will first find the prime factorization of 35486 and 35497. After we will calculate the factors of 35486 and 35497 and find the biggest common factor number .

Step-1: Prime Factorization of 35486

Prime factors of 35486 are 2, 11, 1613. Prime factorization of 35486 in exponential form is:

35486 = 2¹ × 11¹ × 1613¹

Step-2: Prime Factorization of 35497

Prime factors of 35497 are 7, 11, 461. Prime factorization of 35497 in exponential form is:

35497 = 7¹ × 11¹ × 461¹

Step-3: Factors of 35486

List of positive integer factors of 35486 that divides 35486 without a remainder.

1, 2, 11, 22, 1613, 3226, 17743

Step-4: Factors of 35497

List of positive integer factors of 35497 that divides 35486 without a remainder.

1, 7, 11, 77, 461, 3227, 5071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35486 and 35497. The biggest common factor number is the GCF number.
So the greatest common factor 35486 and 35497 is 11.

Also check out the Least Common Multiple of 35486 and 35497