What is the Greatest Common Factor of 35906 and 35920?

Greatest common factor (GCF) of 35906 and 35920 is 2.

GCF(35906,35920) = 2

We will now calculate the prime factors of 35906 and 35920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35906 and 35920.

How to find the GCF of 35906 and 35920?

We will first find the prime factorization of 35906 and 35920. After we will calculate the factors of 35906 and 35920 and find the biggest common factor number .

Step-1: Prime Factorization of 35906

Prime factors of 35906 are 2, 13, 1381. Prime factorization of 35906 in exponential form is:

35906 = 2¹ × 13¹ × 1381¹

Step-2: 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-3: Factors of 35906

List of positive integer factors of 35906 that divides 35906 without a remainder.

1, 2, 13, 26, 1381, 2762, 17953

Step-4: Factors of 35920

List of positive integer factors of 35920 that divides 35906 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35906 and 35920. The biggest common factor number is the GCF number.
So the greatest common factor 35906 and 35920 is 2.

Also check out the Least Common Multiple of 35906 and 35920