What is the Greatest Common Factor of 67038 and 67048?
Greatest common factor (GCF) of 67038 and 67048 is 2.
GCF(67038,67048) = 2
We will now calculate the prime factors of 67038 and 67048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67038 and 67048.
How to find the GCF of 67038 and 67048?
We will first find the prime factorization of 67038 and 67048. After we will calculate the factors of 67038 and 67048 and find the biggest common factor number .
Step-1: Prime Factorization of 67038
Prime factors of 67038 are 2, 3, 11173. Prime factorization of 67038 in exponential form is:
67038 = 21 × 31 × 111731
Step-2: Prime Factorization of 67048
Prime factors of 67048 are 2, 17, 29. Prime factorization of 67048 in exponential form is:
67048 = 23 × 172 × 291
Step-3: Factors of 67038
List of positive integer factors of 67038 that divides 67038 without a remainder.
1, 2, 3, 6, 11173, 22346, 33519
Step-4: Factors of 67048
List of positive integer factors of 67048 that divides 67038 without a remainder.
1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 289, 493, 578, 986, 1156, 1972, 2312, 3944, 8381, 16762, 33524
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67038 and 67048. The biggest common factor number is the GCF number.
So the greatest common factor 67038 and 67048 is 2.
Also check out the Least Common Multiple of 67038 and 67048
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