What is the Greatest Common Factor of 35920 and 35926?

Greatest common factor (GCF) of 35920 and 35926 is 2.

GCF(35920,35926) = 2

We will now calculate the prime factors of 35920 and 35926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35920 and 35926.

How to find the GCF of 35920 and 35926?

We will first find the prime factorization of 35920 and 35926. After we will calculate the factors of 35920 and 35926 and find the biggest common factor number .

Step-1: Prime Factorization of 35920

Prime factors of 35920 are 2, 5, 449. Prime factorization of 35920 in exponential form is:

35920 = 2⁴ × 5¹ × 449¹

Step-2: Prime Factorization of 35926

Prime factors of 35926 are 2, 11, 23, 71. Prime factorization of 35926 in exponential form is:

35926 = 2¹ × 11¹ × 23¹ × 71¹

Step-3: Factors of 35920

List of positive integer factors of 35920 that divides 35920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 449, 898, 1796, 2245, 3592, 4490, 7184, 8980, 17960

Step-4: Factors of 35926

List of positive integer factors of 35926 that divides 35920 without a remainder.

1, 2, 11, 22, 23, 46, 71, 142, 253, 506, 781, 1562, 1633, 3266, 17963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35920 and 35926. The biggest common factor number is the GCF number.
So the greatest common factor 35920 and 35926 is 2.

Also check out the Least Common Multiple of 35920 and 35926