What is the Greatest Common Factor of 35360 and 35370?

Greatest common factor (GCF) of 35360 and 35370 is 10.

GCF(35360,35370) = 10

We will now calculate the prime factors of 35360 and 35370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35360 and 35370.

How to find the GCF of 35360 and 35370?

We will first find the prime factorization of 35360 and 35370. After we will calculate the factors of 35360 and 35370 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35370

Prime factors of 35370 are 2, 3, 5, 131. Prime factorization of 35370 in exponential form is:

35370 = 2¹ × 3³ × 5¹ × 131¹

Step-3: Factors of 35360

List of positive integer factors of 35360 that divides 35360 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

Step-4: Factors of 35370

List of positive integer factors of 35370 that divides 35360 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 131, 135, 262, 270, 393, 655, 786, 1179, 1310, 1965, 2358, 3537, 3930, 5895, 7074, 11790, 17685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35360 and 35370. The biggest common factor number is the GCF number.
So the greatest common factor 35360 and 35370 is 10.

Also check out the Least Common Multiple of 35360 and 35370