What is the Greatest Common Factor of 61700 and 61705?

Greatest common factor (GCF) of 61700 and 61705 is 5.

GCF(61700,61705) = 5

We will now calculate the prime factors of 61700 and 61705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61700 and 61705.

How to find the GCF of 61700 and 61705?

We will first find the prime factorization of 61700 and 61705. After we will calculate the factors of 61700 and 61705 and find the biggest common factor number .

Step-1: Prime Factorization of 61700

Prime factors of 61700 are 2, 5, 617. Prime factorization of 61700 in exponential form is:

61700 = 2² × 5² × 617¹

Step-2: Prime Factorization of 61705

Prime factors of 61705 are 5, 7, 41, 43. Prime factorization of 61705 in exponential form is:

61705 = 5¹ × 7¹ × 41¹ × 43¹

Step-3: Factors of 61700

List of positive integer factors of 61700 that divides 61700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 617, 1234, 2468, 3085, 6170, 12340, 15425, 30850

Step-4: Factors of 61705

List of positive integer factors of 61705 that divides 61700 without a remainder.

1, 5, 7, 35, 41, 43, 205, 215, 287, 301, 1435, 1505, 1763, 8815, 12341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61700 and 61705. The biggest common factor number is the GCF number.
So the greatest common factor 61700 and 61705 is 5.

Also check out the Least Common Multiple of 61700 and 61705