What is the Greatest Common Factor of 35604 and 35620?

Greatest common factor (GCF) of 35604 and 35620 is 4.

GCF(35604,35620) = 4

We will now calculate the prime factors of 35604 and 35620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35604 and 35620.

How to find the GCF of 35604 and 35620?

We will first find the prime factorization of 35604 and 35620. After we will calculate the factors of 35604 and 35620 and find the biggest common factor number .

Step-1: Prime Factorization of 35604

Prime factors of 35604 are 2, 3, 23, 43. Prime factorization of 35604 in exponential form is:

35604 = 2² × 3² × 23¹ × 43¹

Step-2: Prime Factorization of 35620

Prime factors of 35620 are 2, 5, 13, 137. Prime factorization of 35620 in exponential form is:

35620 = 2² × 5¹ × 13¹ × 137¹

Step-3: Factors of 35604

List of positive integer factors of 35604 that divides 35604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 43, 46, 69, 86, 92, 129, 138, 172, 207, 258, 276, 387, 414, 516, 774, 828, 989, 1548, 1978, 2967, 3956, 5934, 8901, 11868, 17802

Step-4: Factors of 35620

List of positive integer factors of 35620 that divides 35604 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 137, 260, 274, 548, 685, 1370, 1781, 2740, 3562, 7124, 8905, 17810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35604 and 35620. The biggest common factor number is the GCF number.
So the greatest common factor 35604 and 35620 is 4.

Also check out the Least Common Multiple of 35604 and 35620