What is the Greatest Common Factor of 35356 and 35360?

Greatest common factor (GCF) of 35356 and 35360 is 4.

GCF(35356,35360) = 4

We will now calculate the prime factors of 35356 and 35360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35356 and 35360.

How to find the GCF of 35356 and 35360?

We will first find the prime factorization of 35356 and 35360. After we will calculate the factors of 35356 and 35360 and find the biggest common factor number .

Step-1: Prime Factorization of 35356

Prime factors of 35356 are 2, 8839. Prime factorization of 35356 in exponential form is:

35356 = 2² × 8839¹

Step-2: Prime Factorization of 35360

Prime factors of 35360 are 2, 5, 13, 17. Prime factorization of 35360 in exponential form is:

35360 = 2⁵ × 5¹ × 13¹ × 17¹

Step-3: Factors of 35356

List of positive integer factors of 35356 that divides 35356 without a remainder.

1, 2, 4, 8839, 17678

Step-4: Factors of 35360

List of positive integer factors of 35360 that divides 35356 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 26, 32, 34, 40, 52, 65, 68, 80, 85, 104, 130, 136, 160, 170, 208, 221, 260, 272, 340, 416, 442, 520, 544, 680, 884, 1040, 1105, 1360, 1768, 2080, 2210, 2720, 3536, 4420, 7072, 8840, 17680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35356 and 35360. The biggest common factor number is the GCF number.
So the greatest common factor 35356 and 35360 is 4.

Also check out the Least Common Multiple of 35356 and 35360