What is the Greatest Common Factor of 81220 and 81240?

Greatest common factor (GCF) of 81220 and 81240 is 20.

GCF(81220,81240) = 20

We will now calculate the prime factors of 81220 and 81240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81220 and 81240.

How to find the GCF of 81220 and 81240?

We will first find the prime factorization of 81220 and 81240. After we will calculate the factors of 81220 and 81240 and find the biggest common factor number .

Step-1: Prime Factorization of 81220

Prime factors of 81220 are 2, 5, 31, 131. Prime factorization of 81220 in exponential form is:

81220 = 2² × 5¹ × 31¹ × 131¹

Step-2: Prime Factorization of 81240

Prime factors of 81240 are 2, 3, 5, 677. Prime factorization of 81240 in exponential form is:

81240 = 2³ × 3¹ × 5¹ × 677¹

Step-3: Factors of 81220

List of positive integer factors of 81220 that divides 81220 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 131, 155, 262, 310, 524, 620, 655, 1310, 2620, 4061, 8122, 16244, 20305, 40610

Step-4: Factors of 81240

List of positive integer factors of 81240 that divides 81220 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 677, 1354, 2031, 2708, 3385, 4062, 5416, 6770, 8124, 10155, 13540, 16248, 20310, 27080, 40620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81220 and 81240. The biggest common factor number is the GCF number.
So the greatest common factor 81220 and 81240 is 20.

Also check out the Least Common Multiple of 81220 and 81240