What is the Greatest Common Factor of 89420 and 89435?

Greatest common factor (GCF) of 89420 and 89435 is 5.

GCF(89420,89435) = 5

We will now calculate the prime factors of 89420 and 89435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89420 and 89435.

How to find the GCF of 89420 and 89435?

We will first find the prime factorization of 89420 and 89435. After we will calculate the factors of 89420 and 89435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89435

Prime factors of 89435 are 5, 31, 577. Prime factorization of 89435 in exponential form is:

89435 = 5¹ × 31¹ × 577¹

Step-3: Factors of 89420

List of positive integer factors of 89420 that divides 89420 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

Step-4: Factors of 89435

List of positive integer factors of 89435 that divides 89420 without a remainder.

1, 5, 31, 155, 577, 2885, 17887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89420 and 89435. The biggest common factor number is the GCF number.
So the greatest common factor 89420 and 89435 is 5.

Also check out the Least Common Multiple of 89420 and 89435