What is the Greatest Common Factor of 74013 and 74030?

Greatest common factor (GCF) of 74013 and 74030 is 1.

GCF(74013,74030) = 1

We will now calculate the prime factors of 74013 and 74030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74013 and 74030.

How to find the GCF of 74013 and 74030?

We will first find the prime factorization of 74013 and 74030. After we will calculate the factors of 74013 and 74030 and find the biggest common factor number .

Step-1: Prime Factorization of 74013

Prime factors of 74013 are 3, 24671. Prime factorization of 74013 in exponential form is:

74013 = 3¹ × 24671¹

Step-2: Prime Factorization of 74030

Prime factors of 74030 are 2, 5, 11, 673. Prime factorization of 74030 in exponential form is:

74030 = 2¹ × 5¹ × 11¹ × 673¹

Step-3: Factors of 74013

List of positive integer factors of 74013 that divides 74013 without a remainder.

1, 3, 24671

Step-4: Factors of 74030

List of positive integer factors of 74030 that divides 74013 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 673, 1346, 3365, 6730, 7403, 14806, 37015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74013 and 74030. The biggest common factor number is the GCF number.
So the greatest common factor 74013 and 74030 is 1.

Also check out the Least Common Multiple of 74013 and 74030