What is the Greatest Common Factor of 72590 and 72602?

Greatest common factor (GCF) of 72590 and 72602 is 2.

GCF(72590,72602) = 2

We will now calculate the prime factors of 72590 and 72602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72590 and 72602.

How to find the GCF of 72590 and 72602?

We will first find the prime factorization of 72590 and 72602. After we will calculate the factors of 72590 and 72602 and find the biggest common factor number .

Step-1: Prime Factorization of 72590

Prime factors of 72590 are 2, 5, 7, 17, 61. Prime factorization of 72590 in exponential form is:

72590 = 2¹ × 5¹ × 7¹ × 17¹ × 61¹

Step-2: Prime Factorization of 72602

Prime factors of 72602 are 2, 31, 1171. Prime factorization of 72602 in exponential form is:

72602 = 2¹ × 31¹ × 1171¹

Step-3: Factors of 72590

List of positive integer factors of 72590 that divides 72590 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 61, 70, 85, 119, 122, 170, 238, 305, 427, 595, 610, 854, 1037, 1190, 2074, 2135, 4270, 5185, 7259, 10370, 14518, 36295

Step-4: Factors of 72602

List of positive integer factors of 72602 that divides 72590 without a remainder.

1, 2, 31, 62, 1171, 2342, 36301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72590 and 72602. The biggest common factor number is the GCF number.
So the greatest common factor 72590 and 72602 is 2.

Also check out the Least Common Multiple of 72590 and 72602