What is the Greatest Common Factor of 89414 and 89420?

Greatest common factor (GCF) of 89414 and 89420 is 2.

GCF(89414,89420) = 2

We will now calculate the prime factors of 89414 and 89420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89414 and 89420.

How to find the GCF of 89414 and 89420?

We will first find the prime factorization of 89414 and 89420. After we will calculate the factors of 89414 and 89420 and find the biggest common factor number .

Step-1: Prime Factorization of 89414

Prime factors of 89414 are 2, 13, 19, 181. Prime factorization of 89414 in exponential form is:

89414 = 2¹ × 13¹ × 19¹ × 181¹

Step-2: Prime Factorization of 89420

Prime factors of 89420 are 2, 5, 17, 263. Prime factorization of 89420 in exponential form is:

89420 = 2² × 5¹ × 17¹ × 263¹

Step-3: Factors of 89414

List of positive integer factors of 89414 that divides 89414 without a remainder.

1, 2, 13, 19, 26, 38, 181, 247, 362, 494, 2353, 3439, 4706, 6878, 44707

Step-4: Factors of 89420

List of positive integer factors of 89420 that divides 89414 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 263, 340, 526, 1052, 1315, 2630, 4471, 5260, 8942, 17884, 22355, 44710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89414 and 89420. The biggest common factor number is the GCF number.
So the greatest common factor 89414 and 89420 is 2.

Also check out the Least Common Multiple of 89414 and 89420