What is the Greatest Common Factor of 90738 and 90742?
Greatest common factor (GCF) of 90738 and 90742 is 2.
GCF(90738,90742) = 2
We will now calculate the prime factors of 90738 and 90742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90738 and 90742.
How to find the GCF of 90738 and 90742?
We will first find the prime factorization of 90738 and 90742. After we will calculate the factors of 90738 and 90742 and find the biggest common factor number .
Step-1: Prime Factorization of 90738
Prime factors of 90738 are 2, 3, 71. Prime factorization of 90738 in exponential form is:
90738 = 21 × 32 × 712
Step-2: Prime Factorization of 90742
Prime factors of 90742 are 2, 59, 769. Prime factorization of 90742 in exponential form is:
90742 = 21 × 591 × 7691
Step-3: Factors of 90738
List of positive integer factors of 90738 that divides 90738 without a remainder.
1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278, 5041, 10082, 15123, 30246, 45369
Step-4: Factors of 90742
List of positive integer factors of 90742 that divides 90738 without a remainder.
1, 2, 59, 118, 769, 1538, 45371
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 90738 and 90742. The biggest common factor number is the GCF number.
So the greatest common factor 90738 and 90742 is 2.
Also check out the Least Common Multiple of 90738 and 90742
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