What is the Greatest Common Factor of 36043 and 36062?

Greatest common factor (GCF) of 36043 and 36062 is 19.

GCF(36043,36062) = 19

We will now calculate the prime factors of 36043 and 36062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36043 and 36062.

How to find the GCF of 36043 and 36062?

We will first find the prime factorization of 36043 and 36062. After we will calculate the factors of 36043 and 36062 and find the biggest common factor number .

Step-1: Prime Factorization of 36043

Prime factors of 36043 are 7, 19, 271. Prime factorization of 36043 in exponential form is:

36043 = 7¹ × 19¹ × 271¹

Step-2: Prime Factorization of 36062

Prime factors of 36062 are 2, 13, 19, 73. Prime factorization of 36062 in exponential form is:

36062 = 2¹ × 13¹ × 19¹ × 73¹

Step-3: Factors of 36043

List of positive integer factors of 36043 that divides 36043 without a remainder.

1, 7, 19, 133, 271, 1897, 5149

Step-4: Factors of 36062

List of positive integer factors of 36062 that divides 36043 without a remainder.

1, 2, 13, 19, 26, 38, 73, 146, 247, 494, 949, 1387, 1898, 2774, 18031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36043 and 36062. The biggest common factor number is the GCF number.
So the greatest common factor 36043 and 36062 is 19.

Also check out the Least Common Multiple of 36043 and 36062