What is the Greatest Common Factor of 87022 and 87035?

Greatest common factor (GCF) of 87022 and 87035 is 13.

GCF(87022,87035) = 13

We will now calculate the prime factors of 87022 and 87035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87022 and 87035.

How to find the GCF of 87022 and 87035?

We will first find the prime factorization of 87022 and 87035. After we will calculate the factors of 87022 and 87035 and find the biggest common factor number .

Step-1: Prime Factorization of 87022

Prime factors of 87022 are 2, 13, 3347. Prime factorization of 87022 in exponential form is:

87022 = 2¹ × 13¹ × 3347¹

Step-2: Prime Factorization of 87035

Prime factors of 87035 are 5, 13, 103. Prime factorization of 87035 in exponential form is:

87035 = 5¹ × 13² × 103¹

Step-3: Factors of 87022

List of positive integer factors of 87022 that divides 87022 without a remainder.

1, 2, 13, 26, 3347, 6694, 43511

Step-4: Factors of 87035

List of positive integer factors of 87035 that divides 87022 without a remainder.

1, 5, 13, 65, 103, 169, 515, 845, 1339, 6695, 17407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87022 and 87035. The biggest common factor number is the GCF number.
So the greatest common factor 87022 and 87035 is 13.

Also check out the Least Common Multiple of 87022 and 87035